Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Página 8
... whose oppofite Sides are parallel or equi- G M diftant ; asGLHM . A E B H 36. In a Pa- rallelogram A B CD , when a Diameter A C , and two Lines F C EF , HI , paral- lel to the Sides , cutting the Dia- D meter in one or the fame Point G ...
... whose oppofite Sides are parallel or equi- G M diftant ; asGLHM . A E B H 36. In a Pa- rallelogram A B CD , when a Diameter A C , and two Lines F C EF , HI , paral- lel to the Sides , cutting the Dia- D meter in one or the fame Point G ...
Página 110
... whose Ante❤ cedents are to the Antecedents , and Confequents to the Confequents . As if A : B :: C : D ; then A and C , and B , D , are call'd Homologous Magnitudes . XII . XII . Alternate Ratio , is the Comparison of the 110 EUCLID'S ...
... whose Ante❤ cedents are to the Antecedents , and Confequents to the Confequents . As if A : B :: C : D ; then A and C , and B , D , are call'd Homologous Magnitudes . XII . XII . Alternate Ratio , is the Comparison of the 110 EUCLID'S ...
Página 152
... whose Bases are AC CB , and Altitudes CL , CF. Make CL : CF :: CB : Q ; then shall * X : Z :: AC : O. D F PROP . XXIV . H B A In every Parallelogram ABCD , the Parallelo- E grams EG , HF , that are about the Diameter AC are fimilar to ...
... whose Bases are AC CB , and Altitudes CL , CF. Make CL : CF :: CB : Q ; then shall * X : Z :: AC : O. D F PROP . XXIV . H B A In every Parallelogram ABCD , the Parallelo- E grams EG , HF , that are about the Diameter AC are fimilar to ...
Página 216
... whose Base is the quadrilateral Figure KBOS , and Vertex the Point A , to the Pyra- mid of the fame Order in the other Sphere , has a triplicate Proportion of that which the ho- mologous Side of one , has to the homologous Side of the ...
... whose Base is the quadrilateral Figure KBOS , and Vertex the Point A , to the Pyra- mid of the fame Order in the other Sphere , has a triplicate Proportion of that which the ho- mologous Side of one , has to the homologous Side of the ...
Términos y frases comunes
9 ax ABCD abfurd alfo alſo Altitude Angle ABC Bafe BC Baſe becauſe bifect Center Circ Cone confequently conft COROL Cylinder defcribed demonftrated Diameter draw the right drawn EFGH equal Angles equiangular equilateral Equimultiples EUCLID's ELEMENTS faid fame Multiple fecond fhall fimilar fince firft folid fome fore four right ftanding given right Line gles Gnomon greater Hence infcribe leffer lefs likewife Line CD Magnitudes manifeft manner Number oppofite Paral parallel Parallelepip Parallelepipedons Parallelogram perpend perpendicular poffible Point Polyhedron Prifms Probl PROP Propofition Pyramids Ratio Rectangle right Angles right Line AB right Line AC right-lined Figure SCHOL SCHOLIU Segment ſhall Side BC Sphere Square thefe thofe thro tiple Triangle ABC Whence whofe whole
Pasajes populares
Página 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Página 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Página 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Página 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Página 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.